A mathematical model of Adomian polynomials

被引：52

作者：

Abdelwahid, F ^{[1
]}

机构：

[1] Univ Garyounis, Fac Sci, Dept Math, Benghazi, Libya

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 141卷 / 2-3期

关键词：

D O I：

10.1016/S0096-3003(02)00266-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Adomian decomposition method is reviewed and a mathematical model of Adomian polynomials is introduced. To show the convenience of this model for computer programming, the Mathematica package is used to generate the Adomian polynomials for any order. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

收藏

页码：447 / 453

页数：7

相关论文

共 18 条

[1] A NEW APPROACH TO THE HEAT-EQUATION - AN APPLICATION OF THE DECOMPOSITION METHOD [J].

ADOMIAN, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 113 (01) :202-209

[2] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].

ADOMIAN, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 135 (02) :501-544

[3] A GLOBAL METHOD FOR SOLUTION OF COMPLEX-SYSTEMS [J].

ADOMIAN, G ;

ADOMIAN, GE .

MATHEMATICAL MODELLING, 1984, 5 (04) :251-263

[4] PURELY NONLINEAR DIFFERENTIAL-EQUATIONS [J].

ADOMIAN, G ;

RACH, R .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 20 (01) :1-3

[5] ON LINEAR AND NONLINEAR INTEGRODIFFERENTIAL EQUATIONS [J].

ADOMIAN, G ;

RACH, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 113 (01) :199-201

[6] SYSTEMS OF NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS [J].

ADOMIAN, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 115 (01) :235-238

[7] A NON-LINEAR DIFFERENTIAL DELAY EQUATION [J].

ADOMIAN, G ;

RACH, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 91 (02) :301-304

[8] Modified Adomian polynomials [J].

Adomian, G ;

Rach, R .

MATHEMATICAL AND COMPUTER MODELLING, 1996, 24 (11) :39-46

[9] ON THE SOLUTION OF EQUATIONS CONTAINING RADICALS BY THE DECOMPOSITION METHOD [J].

ADOMIAN, G ;

RACH, R ;

SARAFYAN, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 111 (02) :423-426

[10] A NEW APPROACH TO BOUNDARY-VALUE EQUATIONS AND APPLICATION TO A GENERALIZATION OF AIRYS EQUATION [J].

ADOMIAN, G ;

ELROD, M ;

RACH, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 140 (02) :554-568